Sentence examples for a supersolution of problem from inspiring English sources
Therefore v̅ is a supersolution of problem (2.7).
Thus, if and, then is a supersolution of Problem (1.1).
then is called a supersolution of problem (2.8).
Therefore, is a supersolution of problem (3.3), and in.
Suppose that there exist a subsolution and a supersolution of problem (2.8) such that in.
end{aligned} The above inequalities show that ((w,z)) is a supersolution of problem (1.1).
Thus is a supersolution of the problem (3.7), and.
This shows that w1 is a supersolution of the problem P λ 1 f.
Let u -, u+ S1,2(G, loc) ∩ C G) be respectively a subsolution and a supersolution of the problem L u + f ( ξ, u ) = 0, (4.4).
Lemma 1 leads to a comparison principle for a subsolution and a supersolution of the problem left { textstylebegin{array}l@{quad}l} -varDelta _{p} u+lambda_{1} |u|^{p-2}u-mu varDelta _{q}u+mulambda_{2} |u|^{q-2}u=g u)& mbox{in } D, u=0& mbox{on } partial D, end{array}displaystyle right.
Assume that (u_{1}) and (u_{2}) are a positive subsolution and a positive supersolution of problem (6), respectively.
